Question 806037
First car ------------ speed ---------------x mph-----------200 miles

time first car = 200/x


Second car-----------speed ---------------(x+10) mph----------200 miles

time second car = 200/(x+10)

Time first car - time second car = 1


{{{200/x - 200/(x+10) =1}}}

LCD = x(x+10)
200(x+10)-200x=1*x(x+10)

200x+2000-200x=x^2+10x

x^2+10x-2000=0

x^2+50x-40x-2000=0

x(x+50)-40(x+50)=0

(x+50)(x-40)=0

x= 40 OR -50

ignore negative

x= 40 speed of first car

speed of second car = 40+10 = 50 mph